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Finding the Fourth Proportional to 314,378.14, 433,841.82 and 171,139.22

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Solution

The fourth proportional to 314,378.14, 433,841.82 and 171,139.22 is: 236,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,378.14 : 433,841.82 = 171,139.22 : x
  2. Step 2: Convert to fraction form
    314,378.14/433,841.82 = 171,139.22/x
  3. Step 3: Cross multiply
    314,378.14x = 433,841.82 × 171,139.22
  4. Step 4: Simplify right side
    314,378.14x = 74,247,350,678.18
  5. Step 5: Solve for x
    x = 74,247,350,678.18/314,378.14
  6. Step 6: Final answer
    x = 236,172.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.